10. Suppose that \(X\) and \(Y\) have the following joint probability mass function \(X\) \(Y\) \(1\) \(2\) \(3\) \(1\) \(0.25\) \(0.25\) \(0\) \(2\) \(0\) \(0.25\) \(0.25\) Find the correlation coefficient of the random variables \(X\) and \(Y\).
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P(X=1) = 0.25 + 0.25 + 0 = 0.5 P(X=2) = 0 + 0.25 + 0.25 = 0.5 P(Y=1) = 0.25 + 0 = 0.25 P(Y=2) = 0.25 + 0.25 = 0.5 P(Y=3) = 0 + 0.25 = 0.25 Show more…
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